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Selected Works of A.I. Shirshov

This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921-1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and results on G...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Bokut, Leonid A. (Editor ), Latyshev, Victor (Editor ), Shestakov, Ivan (Editor ), Zelmanov, Efim (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2009.
Edición:1st ed. 2009.
Colección:Contemporary Mathematicians
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Publications of A.I. Shirshov
  • Subalgebras of Free Lie Algebras
  • On the Representation of Lie Rings in Associative Rings
  • Subalgebras of Free Commutative and Free Anticommutative Algebras
  • On Special J-rings
  • Some Theorems on Embedding of Rings
  • On some Nonassociative Nil-rings and Algebraic Algebras
  • On Rings with Identical Relations
  • On Free Lie Rings
  • On a Problem of Levitzki
  • Some Problems in the Theory of Rings that are Nearly Associative
  • On the Bases of a Free Lie Algebra
  • Some Algorithmic Problems for ?-algebras
  • Some Algorithmic Problems for Lie Algebras
  • On a Hypothesis in the Theory of Lie Algebras
  • On Some Groups which are Nearly Engel
  • On Some Identical Relations for Algebras
  • On Some Positively Definable Varieties of Groups
  • On the Definition of the Binary-Lie Property
  • On the Theory of Projective Planes
  • Commentaries
  • Perspectives on Shirshov's Height Theorem
  • On Shirshov's Papers for Lie Algebras
  • Some of A.I. Shirshov's works
  • Comments on Shirshov's Height Theorem
  • A.I. Shirshov's Works on Alternative and Jordan Algebras
  • A Word about the Teacher.